Phenomenology of one zero texture Yukawa matrix in a flavor symmetric scotogenic model

TL;DR

This paper explores a flavor symmetric scotogenic model with specific Yukawa textures, analyzing its implications for neutrino masses, dark matter, lepton flavor violation, and baryon asymmetry, providing new insights into neutrino phenomenology and cosmology.

Contribution

The study introduces three one zero Yukawa textures within a flavor symmetric scotogenic model and examines their phenomenological and cosmological implications, including neutrino masses, dark matter, and baryon asymmetry.

Findings

Two Yukawa textures are discarded based on $ au- au$ symmetry.

The effective neutrino mass is consistent with KamLAND-Zen limits.

Results support specific Yukawa textures for neutrino and dark matter phenomenology.

Abstract

The scotogenic model is well known for accommodating small neutrino mass and dark matter. Here, we have realized the scotogenic model with the help of discrete flavor symmetry $A_{4}\otimes Z_{4}$. We have obtained three one zero textures of Yukawa coupling matrices from the model and have studied its impact on neutrino phenomenology and related aspects of cosmology. On the basis of $\mu-\tau$ symmetry, we have further discarded two structures of one zero texture Yukawa coupling matrix. We further analyze if the effective mass of active neutrinos obtained by the virtue of the Yukawa coupling matrix is consistent with the KamLAND-Zen limit for 0$\nu\beta\beta$. Also different lepton flavor violating(LFV) processes such as $l_{\alpha}\longrightarrow l_{\beta}\gamma$ and $l_{\alpha}\longrightarrow 3l_{\beta}$ are implemented and their influence on neutrino phenomenology is studied corresponding to the Yukawa coupling matrix. The entire work is carried out considering the dark matter mass($M_{DM}$) in the region $450-750$ GeV. We have also obtained some significant results for baryon asymmetry of the Universe in agreement with the one zero textures of the coupling matrices. Furthermore, interesting results for relic abundance on the basis of distinct mass splittings between the inert scalars.